14464
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 29070
- Proper Divisor Sum (Aliquot Sum)
- 14606
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7168
- Möbius Function
- 0
- Radical
- 226
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 19
- Smith Number
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- arctan(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+80/6!*x^6+14464/8!*x^8...at n=4A012680
- tanh(tanh(x)*arctan(x))=2/2!*x^2-16/4!*x^4+80/6!*x^6+14464/8!*x^8...at n=3A012684
- a(n) = Sum_{k=0..n-1} T(n,k) * T(n,2n-k), with T given by A027023.at n=7A027042
- Numbers whose set of base-15 digits is {1,4}.at n=29A032827
- Numbers whose set of base-15 digits is {3,4}.at n=29A032839
- Triangle read by rows: T(n,k) (n >= 2, 0 <= k <= n) = number of over-all crude totals of unbranched k-5-catapolyheptagons.at n=49A038195
- a(n) in base 15 is a repdigit.at n=46A048339
- Numbers n such that 287*2^n-1 is prime.at n=20A050902
- a(n) = Sum_{k=1..n} d(k)*prime(k), where d(k) = A001223.at n=38A064009
- Partial sums of A026905; the convolution of the natural numbers with the partition function.at n=20A085360
- a(n) = prime(n)*(prime(n+1) + 1).at n=29A123134
- a(n) = 2^n*pentanacci(n) or (2^n)*A023424(n-1).at n=6A127221
- Number of ascents of length at least 2 in all skew Dyck paths of semilength n.at n=28A128751
- Number of binary strings of length n with equal numbers of 00001 and 10000 substrings.at n=14A164203
- Numbers n such that d(1)^1 + d(2)^2 + ... + d(p)^p and d(1)^p + d(2)^p-1 +... + d(p)^1 are squares, where d(i), i=1..p, are the digits of n.at n=36A178360
- Products of the 7th power of a prime and a distinct prime (p^7*q).at n=30A179664
- Number of compositions of n into distinct parts with exactly nine descents.at n=16A241728
- Sums of Pythagorean sextuples in increasing order: The sums of sets of six natural numbers which correspond to the lengths of the edges of a tetrahedron whose four faces are all different Pythagorean triangles.at n=23A248548
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 78", based on the 5-celled von Neumann neighborhood.at n=7A270092
- Numbers k such that 9*10^k + 89 is prime.at n=25A278335